Diagnostic tomography of applied holography

The single-particle behavior in [Formula: see text]-dimensional Fermi gases with a large number N of species and strong short-range s-wave scattering is studied in the (effectively) [Formula: see text] ‘tomographic’ framework and is shown to demonstrate certain features of a pseudo-holographic correspondence with the [Formula: see text] gravity of the [Formula: see text] type. However, due to the intrinsically topological nature of the latter theory, its dynamics reduces to a purely boundary one and so, akin to its [Formula: see text] counterpart, this formal correspondence neither represents a genuine case of, nor endorses the hypothetical holographic duality between pairs of fully dynamical systems defined in different dimensions.